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Describe about Arithmetic and Geometric Series?
When the terms of a sequence are added together instead of separated by commas, the sequence becomes a series. You will use series in higher mathematics. Example 1: 3 + 6 + 9 + 12 + ...The pattern is add three to the previous term. When the pattern is to always add or subtract the same number, you have an arithmetic series. Example 2:1 + 2 + 4 + 8 + ...The pattern is multiply two to the previous term. A series that has a pattern of multiplying or dividing by the same number is called a geometric series.
If the points for a right angle triangle are XYZ where do I mark the points?
5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1
Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is a subsequential limit of Xn}. Prove E is closed.
In a two dimensional case, the form of the linear function can be obtained if we know the co-ordinates of two points on the straight line. Suppose x' and x" are two
ABC is a right angled triangle in which ∠A = 900. Find the area of the shaded region if AB = 6 cm, BC=10cm & I is the centre of the Incircle of ?ABC. Ans: ∠A =90 0 BC
Evaluate the slope of the line: Example: What is the slope of the line passing through the points (20, 85) and (30, 125)? Solution: m = 125 -85/30-20 = 4
1/(1-z)(1-z)(1-z)(1-z)
The distance from the sun to the earth is approximately 9.3 × 10 7 miles. What is this distance expressed in standard notation? In order to convert this number to standard not
100 plus 2
Marginal cost & cost function The cost to produce an additional item is called the marginal cost and as we've illustrated in the above example the marginal cost is approxima
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